693408960 has 168 divisors, whose sum is σ = 2424751056. Its totient is φ = 181831680.

The previous prime is 693408959. The next prime is 693408967. The reversal of 693408960 is 69804396.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (693408967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173707 + ... + 177653.

It is an arithmetic number, because the mean of its divisors is an integer number (14433042).

Almost surely, 2^693408960 is an apocalyptic number.

693408960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 693408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212375528).

693408960 is an abundant number, since it is smaller than the sum of its proper divisors (1731342096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

693408960 is a wasteful number, since it uses less digits than its factorization.

693408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4031 (or 4018 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 693408960 is about 26332.6595694396. The cubic root of 693408960 is about 885.1084421364.

The spelling of 693408960 in words is "six hundred ninety-three million, four hundred eight thousand, nine hundred sixty".